name: 5-a-day foundation plus - delta academies trust · 2nd march factorise y² - 25 factorise y²...

1st March 1st March

Write down the smallest integer that satisfies 5x − 1 > x + 17

Make x the subject

Write 0.000045 in standard form. Write four million in standard form.

Write down the value of Sin y.

Write down the value of Cos y. Write down the value of Tan y.

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2nd March 2nd March

Factorise

y² - 25

Factorise

y² + 2y - 24

Find the HCF of 54 and 135

Calculate an estimate of the mean

Find the length of AC





3rd March 3rd March

Solve the simultaneous equations

Factorise x² - x - 12

Write 5.2 x 10−4

as an ordinary number

Find the nth term of

90 80 70 60 ... ...

Find the 100th term.

Solve:

3(4x − 9) = 2x + 30


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4th March 4th March

Calculate the area of this semi-circle.

Make w the subject of

a = 4w - 3

Find the gradient of the line passing through the points (1, 6) and (3, 15).

Find the size of the angle labelled x


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5th March 5th March

A particle travels at 20km/h.

What is this speed in metres per second?

Draw the graph y = 4x + 3

Draw the graph y = x² + x - 1

Write down the coordinates of where the two graphs intersect.





6th March 6th March

Define a “continuous variable”

Factorise x² - 11x + 30 Factorise x² - 2x - 63

Solve these simultaneous equations

Find the volume of the square based pyramid

Write down the exact value of Sin 30° Write down the exact value of Cos 30°





7th March 7th March

Work out

Give your answer as a fraction.

c = 50 when rounded to the nearest ten.

Write an inequality to show the interval in which the actual value for c lies.

Complete the table of values and draw a graph

Evaluate





8th March 8th March

Factorise

m² − 2m − 63

Factorise

m² − 81

Write 3958234 correct to one significant figure.

Write 0.05491 correct to two significant figures.

Find the area of the blue shape.

The pie chart shows the holiday destinations of 60 people.

Draw a bar chart to represent this information.





9th March 9th March

Construct the perpendicular bisector of ABConstruct the perpendicular bisector of AB

Factorise x² + 4x + 3 Factorise x² - 3x + 2

Write in standard form Write in standard form

Below is an equilateral triangle Calculate the area of the triangle.





10th March 10th March

In 2012 the number of golfers in a club is 450.

In 2014 the number of golfers was 520.

Work out the percentage increase.

Triangles ABC and DEF are similar.AB = 4cm AC = 5cmDE = 16cm EF = 17cm.

Work out the length of DF.

Michael organises his books into groups of 36. He then organises them into groups of 30.

What is the smallest possible number of books that Michael has.

Calculate the volume of the sphere.Give your answer to 1 decimal place.






What is the size of each exterior angle of a regular pentagon? What is the size of each interior

angle of a regular heptagon?

Write as a decimal

The perimeter of the rectangle is 72cm.Calculate the size of the width and length.

Shown is a cross-section of a river.Calculate an estimate of the area of the cross section.

The population of a town in 1930 was 400.

Every 10 years the population of the town increases by 5%.

Work out the population in 2020.






Write down an estimate for √51

Last month James weighed 75kgThis month James weighs 78kg

Calculate the percentage increase.

Calculate the area

ABCDEFGH is a regular octagon. Calculate the size of angle AOB.

Calculate the size of angle ABC.

Mrs Holland wants to paint her garage wall." Each can of paint covers 5m²." Each can costs £7.50

How much will it cost Mrs Holland to paint her garage wall?

The wall measures






Simplify

8w(2w + 3) − 3w(2 − 3w)

Solve

The rope on a roll is 4½ m long.

Jenny wants 20 pieces of rope ⅝ m long.

How many rolls of rope are needed?

£400 is invested. The investment pays 10% every year.

How much money will there be after 3 years?

The bearing of A from B is 140°

What is the bearing of B from A?






The size of an interior angle, for a regular polygon, is 178⁰.

How many sides does it have?

Write 713000 in standard form Write 4 billion in standard form.

A rectangular lawn is 100m long and 45m wide.There are 3 circular ponds, with radii 20m, 10m and 5m respectively.Mrs Jones wants to cover the lawn with grass seed.Each packet of grass seed covers 7m² and costs £4.49

How much will it cost Mrs Jones to cover the lawn with grass seed?

Find an equation of the line parallel to y = 2x - 1 and passing through (0, 4)






Factorise y² − 100 Factorise

x² + 2x − 8

Rob answered 84% of the questions in a test correctly. He answered 126 of the questions correctly.

Work out the total number of questions in the test

Solve 10x − 8 = 40 − 2x

Shown is a regular pentagon and five isosceles triangles.

Find x

Shown is a regular pentagon and five isosceles triangles.

Find y






On the grid, draw the plan view. Draw a sketch of the solid shape.

Find y


2x + 4y = 246x − 5y = 21






Three angles in a pentagon are 110 degrees each.

With the two other angles, one is 10 degrees larger than the other.

Find the size of each angle.

Make c the subject

Work out

Solve x² + x − 12 = 0

Work out the vector 4a + b






Find the size of each interior angle of a regular nonagon (9 sides)

Complete the table of values for y = x² + 2x + 1

On the grid, draw the graph of y = x² + 2x + 1 for the values of x from -3 to 3.

Solve x² + 5x - 50 = 0

Shown is a right angled triangle.

Find the size of Cos x






Shown is a regular hexagon and a square.

Find y.

Solve

3(x + 12) = x + 6

Calculate angle y

Convert 1.5m² into cm² Convert 58,000,000,000cm³ into m³






Shown is a regular pentagon.

Find angle ABC.

A empty circular swimming pool has radius 10m and height 2m.The pool is going to be filled at a rate of 20 litres a minute.How long will it take to fill the pool?

Work out the gradient of the straight line that passes through (2, 6) and (6, 12).

Natalie invests £800 for 2 years at 10% per year compound interest.

How much interest does she earn?

A container exerts a force of 2000 Newtons on the floor.The pressure on the table is 50 Newtons/m²

Calculate the area of the container that is in contact with the table.





21st March 21st March

Write down the inequality shown by the diagram.

“A prize is won every 302 seconds.”

Estimate how many prizes are won in one week.

The circumference of a circle is 40cm.

Find the area of the circle.

Work out the estimated mean

L has equation y = ⅓x + 2M is parallel to L and passes through (0, 6).

Write down the equation of M.





22nd March 22nd March

Bramley apples cost £4.60 for a 3kg bag at Supervalue supermarket.The same type of apples cost £11.40 for a 7.5kg bag at Nixonʼs supermarket.

Where are the apples the best value for value?

A regular polygon has interior angle 150⁰.


Calculate the estimated mean.

The price of hiring a plumber is £30 per hour, plus a fixed cost of £40.

Complete the table

Draw a graph to show the price of hiring the plumber, with number of hours along the x-axis and price along the y-axis.





23rd March 23rd March

Find BC.

Construct the angle bisector.

Construct the angle bisector.

FInd the size of the angle x.Give reasons for your answer.


3x + 2y = 12x + 3y = 9






Solve the inequality

5x ≤ x + 9

x is a whole number.

Write down the largest value of x that satisfies the inequality.

Write 4.3 x 10−⁷ as an ordinary number.

Write 940000 in standard form.

Make w the subject of the formula

6a = 3w + 4a + 7

Draw the locus of all points which are equidistant from lines CD and CE.Draw the locus of all points which are equidistant from lines CD and CE.






Make a the subject of

c = a²

Make w the subject of

y = 3x − w

Factorise x² + 17x + 60

Solve

4x + 2y = 82x − 5y = 10

Find the equation of this line






Write down the reciprocal of 3Write down the reciprocal of 1

There are two sets of traffic lights on Johnʼs route to Swindon.

Work out the probability both sets of traffic lights will be green.

There are two sets of traffic lights on Johnʼs route to Swindon.

Work out the probability that exactly one set of traffic lights will be green.

A salesman sells 140 cars in 2009.He sells 189 cars in 2010.

Work out the percentage increase.

Convert 5km/h into m/s.






Factorise x² - 14x + 48

Work out the size of each interior angle of a regular decagon

A line has equation y = ½x − 3

Write down the gradient of the line

Write down the y-intercept of the line

CD is parallel to BE.

Find the length of DE.

CD is parallel to BE.

Find the length of BE.






Anna, Beth and Carla share money in the ratio 2:3:5.

Carla receives £75.

How much does Beth receive?

Simplify

Find the midpoint of (-2, 2) and (4, 9)

Complete the table for the graph y = 4 - x²

Draw the graph on the grid.






Convert 2200 Emirati Dirhams into Pounds.

Tom wants to buy a camera.In London the camera costs £380.In Abu Dhabi the camera costs 2000 Dirhams.

In which city is the camera cheaper and by how much?Give your answer in pounds.

Lee complete a journey in three stages.In stage 1 of his journey, he drives at an average speed of 30km/h for 45 minutes.

How far does Lee travel in stage 1 of his journey?

In stage 2 of his journey, Lee drives at an average speed of 50km/h for 2 hours 48 minutes.

Altogether, over all three stages, Lee drives 200 km in 4 hours.

What is his average speed, in km/h, in stage 3 of his journey?


3x - 4y = 182x - 5y = 19






Expand 4y² (5y² - 2a)

Solve x² + 3x - 4 = 0

Calculate an estimate of the mean height.


y + 1 = 2xy = x + 2

ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}A = {multiples of 4}B = {factors of 20}

Draw a Venn diagram for this information.





31st March 31st March

c = 0.94 when truncated to two decimal places.

Write an inequality to show the interval in which the actual value of c lies.

Work out the area of the green shape.

Expand and simplify

x(8x + 3) - 2x(x - 5)

A regular polygon has exterior angle 15⁰.






name: 5-a-day foundation plus - delta academies trust · 2nd march factorise y² - 25 factorise y²...

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